Monogenic functions on surfaces.
Monopole metrics and the orbifold Yamabe problem
We consider the self-dual conformal classes on discovered by LeBrun. These depend upon a choice of points in hyperbolic -space, called monopole points. We investigate the limiting behavior of various constant scalar curvature metrics in these conformal classes as the points approach each other, or as the points tend to the boundary of hyperbolic space. There is a close connection to the orbifold Yamabe problem, which we show is not always solvable (in contrast to the case of compact manifolds)....
Monopoles over 4-manifolds containing long necks. I.
Monotone functions on symmetric spaces.
Monotone point-to-set vector fields.
More morphisms between bundle gerbes.
More on convolution of Riemannian manifolds.
Morphismes surjectifs de fibrés vectoriels semi-positifs
Morse index and bifurcation of p-geodesics on semi Riemannian manifolds
Given a one-parameter family of semi Riemannian metrics on an n-dimensional manifold M, a family of time-dependent potentials and a family of trajectories connecting two points of the mechanical system defined by , we show that there are trajectories bifurcating from the trivial branch if the generalized Morse indices and are different. If the data are analytic we obtain estimates for the number of bifurcation points on the branch and, in particular, for the number of strictly conjugate...
Morse indices of Yang-Mills connections over the unit sphere
Motion by curvature of planar networks
We consider the motion by curvature of a network of smooth curves with multiple junctions in the plane, that is, the geometric gradient flow associated to the length functional. Such a flow represents the evolution of a two–dimensional multiphase system where the energy is simply the sum of the lengths of the interfaces, in particular it is a possible model for the growth of grain boundaries. Moreover, the motion of these networks of curves is the simplest example of curvature flow for sets which...
Motion of concentration sets in Ginzburg-Landau equations
Multi-helicoidal Euclidean submanifolds of constant sectional curvature.
Multi-instantons in higher dimensions and superstring solitons.
Multiple convex hypersurfaces with prescribed mean curvature
Multiplicité de petites valeurs propres du laplacien
Multiplicity and stability of closed geodesics on Finsler 2-spheres
A survey of recent progress on the multiplicity and stability problems for closed geodesics on Finsler 2-spheres is given.
Multiplicity results for the prescribed scalar curvature on low spheres
In this paper, we consider the problem of multiplicity of conformal metrics of prescribed scalar curvature on standard spheres . Under generic conditions we establish someMorse Inequalities at Infinity, which give a lower bound on the number of solutions to the above problem in terms of the total contribution of its critical points at Infinityto the difference of topology between the level sets of the associated Euler-Lagrange functional. As a by-product of our arguments we derive a new existence...
Multiplicity-free complex manifolds.
Multi-time sprays and -traceless maps on .